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The Minimal Turbulent Flow Unit as a Test Case for Three Different Computer Codes

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Numerical Flow Simulation I

Summary

It is the aim of this investigation to compare the accuracy and performance of three codes in simulations of fully developed incompressible turbulent channel flow. Two of the codes use staggered variable arrangements and second order central differencing in space. While one of them is adapted to Cartesian grids, the other uses coordinate invariant formulations of the discrete equations based on contravariant mass fluxes. The third code favours collocated variable arrangements. In order to keep the computational costs moderate, turbulent flow through a minimal channel has been computed and compared. The size of the channel in streamwise, spanwise and wall-normal directions is πh × 0.3πh × 2h and in wall units 416 × 125 × 265 for a Reynolds number based on friction velocity and channel half width h of 132.5. This corresponds to a Reynolds number based on bulk velocity of about 2000. The computations have been conducted on a vector computer. The first- and second-order statistics show that all three codes are comparable in accuracy but not in the computational effort spent to get the results.

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Manhart, M. et al. (1998). The Minimal Turbulent Flow Unit as a Test Case for Three Different Computer Codes. In: Hirschel, E.H. (eds) Numerical Flow Simulation I. Notes on Numerical Fluid Mechanics (NNFM), vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44437-4_18

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  • DOI: https://doi.org/10.1007/978-3-540-44437-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53590-1

  • Online ISBN: 978-3-540-44437-4

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